Looking for James Rimmer in England

Looking for information about James Rimmer born c.1857 in England. He married Jane Agnes Rimmer, daughter of Robert and Margaret nee Whitter Rimmer. He came to the United States with hia wife and daughter Margaret in 1885. Some of Jane's siblings came with them. They settled in Kansas City, KS and later relocated to Philadelphia, PA.

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James and Jane were married either in West Derby or Liverpool. The problem here is that there are so many James Rimmer's born within that small area in the years 1856-1858. Is there any other information that you can provide to help?